{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the Lorenz System of Differential Equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this Notebook we explore the Lorenz system of differential equations:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\dot{x} & = \\sigma(y-x) \\\\\n",
    "\\dot{y} & = \\rho x - y - xz \\\\\n",
    "\\dot{z} & = -\\beta z + xy\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "This is one of the classic systems in non-linear differential equations. It exhibits a range of different behaviors as the parameters (\\\\(\\sigma\\\\), \\\\(\\beta\\\\), \\\\(\\rho\\\\)) are varied."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we import the needed things from IPython, NumPy, Matplotlib and SciPy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ipywidgets import interact, interactive\n",
    "from IPython.display import clear_output, display, HTML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import integrate\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.colors import cnames\n",
    "from matplotlib import animation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing the trajectories and plotting the result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define a function that can integrate the differential equations numerically and then plot the solutions. This function has arguments that control the parameters of the differential equation (\\\\(\\sigma\\\\), \\\\(\\beta\\\\), \\\\(\\rho\\\\)), the numerical integration (`N`, `max_time`) and the visualization (`angle`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_lorenz(N=10, angle=0.0, max_time=4.0, sigma=10.0, beta=8./3, rho=28.0):\n",
    "\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n",
    "    ax.axis('off')\n",
    "\n",
    "    # prepare the axes limits\n",
    "    ax.set_xlim((-25, 25))\n",
    "    ax.set_ylim((-35, 35))\n",
    "    ax.set_zlim((5, 55))\n",
    "    \n",
    "    def lorenz_deriv(x_y_z, t0, sigma=sigma, beta=beta, rho=rho):\n",
    "        \"\"\"Compute the time-derivative of a Lorenz system.\"\"\"\n",
    "        x, y, z = x_y_z\n",
    "        return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n",
    "\n",
    "    # Choose random starting points, uniformly distributed from -15 to 15\n",
    "    np.random.seed(1)\n",
    "    x0 = -15 + 30 * np.random.random((N, 3))\n",
    "\n",
    "    # Solve for the trajectories\n",
    "    t = np.linspace(0, max_time, int(250*max_time))\n",
    "    x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n",
    "                      for x0i in x0])\n",
    "    \n",
    "    # choose a different color for each trajectory\n",
    "    colors = plt.cm.viridis(np.linspace(0, 1, N))\n",
    "\n",
    "    for i in range(N):\n",
    "        x, y, z = x_t[i,:,:].T\n",
    "        lines = ax.plot(x, y, z, '-', c=colors[i])\n",
    "        plt.setp(lines, linewidth=2)\n",
    "\n",
    "    ax.view_init(30, angle)\n",
    "    plt.show()\n",
    "\n",
    "    return t, x_t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's call the function once to view the solutions. For this set of parameters, we see the trajectories swirling around two points, called attractors. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t, x_t = solve_lorenz(angle=0, N=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using IPython's `interactive` function, we can explore how the trajectories behave as we change the various parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4217a3a589674870ad61a74a938ca1e5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=10, description='N', max=50), FloatSlider(value=0.0, description='angle'…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = interactive(solve_lorenz, angle=(0.,360.), max_time=(0.1, 4.0), \n",
    "                N=(0,50), sigma=(0.0,50.0), rho=(0.0,50.0))\n",
    "display(w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The object returned by `interactive` is a `Widget` object and it has attributes that contain the current result and arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "t, x_t = w.result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'N': 10,\n",
       " 'angle': 0.0,\n",
       " 'beta': 2.6666666666666665,\n",
       " 'max_time': 4.0,\n",
       " 'rho': 28.0,\n",
       " 'sigma': 10.0}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.kwargs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After interacting with the system, we can take the result and perform further computations. In this case, we compute the average positions in \\\\(x\\\\), \\\\(y\\\\) and \\\\(z\\\\)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "xyz_avg = x_t.mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10, 3)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xyz_avg.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Creating histograms of the average positions (across different trajectories) show that on average the trajectories swirl about the attractors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(xyz_avg[:,0])\n",
    "plt.title('Average $x(t)$');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gY1Vdn+RCYHtVTbwIrAUuq6r+aaCTgPckuYfei8xF/WcDSZLm34zBD1BVm4HNk9reNGn5v0yx3heBJ8yhPknSgPnNXUnqGINfkjrG4JekjjH4JaljDH5J6hiDX5I6xuCXpI4x+CWpYwx+SeoYg1+SOsbgl6SOMfglqWMMfknqGINfkjrG4JekjjH4JaljDH5J6phWwZ9kVZKbkuxMct4U/S9PMp7k6ubxqr6+dUm+2TzWDbJ4SdLBm/HWi0kWAe8Gng2MAduSbJri3rkfqapzJ637EOACYBQoYEez7m0DqV6SdNDaHPGvBHZW1a6qugu4DFjdcvtnAVuqam8T9luAVbMrVZI0CG2Cfwmwu295rGmb7LeSXJvk8iTLDnJdkqxPsj3J9vHx8RZlSZJmo03wZ4q2mrT8d8CKqnoi8I/AXx/Eur3Gqg1VNVpVoyMjIy3KkiTNRpvgHwOW9S0vBfb0D6iqH1TVnc3iXwG/3HZdSdL8ahP824ATk5yQ5ChgDbCpf0CSR/Ytng3c2Dy/EjgzyXFJjgPObNokSUMy41k9VbUvybn0AnsRsLGqrk9yIbC9qjYBv5PkbGAfsBd4ebPu3iRvpvfiAXBhVe09BD+HJKmlGYMfoKo2A5sntb2p7/n5wPnTrLsR2DiHGiVJA+Q3dyWpYwx+SeoYg1+SOsbgl6SOMfglqWMMfknqGINfkjrG4JekjjH4JaljDH5J6hiDX5I6xuCXpI4x+CWpYwx+SeoYg1+SOsbgl6SOMfglqWNaBX+SVUluSrIzyXlT9P+nJDckuTbJ/0pyfF/f3Umubh6bJq8rSZpfM956Mcki4N3As4ExYFuSTVV1Q9+wrwKjVXVHklcDbwH+XdP3s6o6dcB1S5Jmqc0R/0pgZ1Xtqqq7gMuA1f0DquqzVXVHs7gVWDrYMiVJg9Im+JcAu/uWx5q26bwS+GTf8v2SbE+yNckLplspyfpm3Pbx8fEWZUmSZmPGqR4gU7TVlAOTlwKjwNP7mpdX1Z4kjwY+k+S6qvrWfhus2gBsABgdHZ1y+5KkuWtzxD8GLOtbXgrsmTwoybOANwJnV9WdE+1Vtaf5dxfwOeBJc6hXkjRHbYJ/G3BikhOSHAWsAe51dk6SJwHvoRf6t/a1H5fk6Ob5YuB0oP9DYUnSPJtxqqeq9iU5F7gSWARsrKrrk1wIbK+qTcBbgWOAjyUB+E5VnQ2cBLwnyT30XmQumnQ2kCRpnrWZ46eqNgObJ7W9qe/5s6ZZ74vAE+ZSoCRpsPzmriR1jMEvSR1j8EtSxxj8ktQxBr8kdYzBL0kdY/BLUscY/JLUMQa/JHWMwS9JHWPwS1LHGPyS1DEGvyR1jMEvSR1j8EtSxxj8ktQxBr8kdUyr4E+yKslNSXYmOW+K/qOTfKTp/3KSFX195zftNyU5a3ClS5JmY8bgT7IIeDfwHOBkYG2SkycNeyVwW1X9IvA24E+adU+md3P2xwGrgL9otidJGpI2R/wrgZ1Vtauq7gIuA1ZPGrMa+Ovm+eXAM9O76/pq4LKqurOqvg3sbLYnSRqSNjdbXwLs7lseA54y3Ziq2pfkR8BDm/atk9ZdMtVOkqwH1jeLP0lyU4va5mox8P152M8g7Vdz/mRIlbR3n/g9HwbuUzUv4L/rQ/Z7nuPPfHzbgW2CP1O0VcsxbdbtNVZtADa0qGdgkmyvqtH53OdcWfP8sOb5Yc3D0WaqZwxY1re8FNgz3ZgkRwAPBva2XFeSNI/aBP824MQkJyQ5it6HtZsmjdkErGuevwj4TFVV076mOevnBOBE4CuDKV2SNBszTvU0c/bnAlcCi4CNVXV9kguB7VW1CXgf8D+T7KR3pL+mWff6JB8FbgD2Aa+pqrsP0c8yG/M6tTQg1jw/rHl+WPMQpHdgLknqCr+5K0kdY/BLUsd0PviTvLa5nMT1Sd4y7HraSvJ7SSrJ4mHXMpMkb03y9STXJrkiybHDrmk6M12eZKFJsizJZ5Pc2PwNv27YNbWVZFGSryb5+2HX0kaSY5Nc3vwt35jkacOuabY6HfxJnkHv28VPrKrHAX865JJaSbIMeDbwnWHX0tIW4PFV9UTgG8D5Q65nSi0vT7LQ7AN+t6pOAp4KvOYwqHnC64Abh13EQXgH8Kmq+iXgFA6v2u+l08EPvBq4qKruBKiqW4dcT1tvA36fab4Mt9BU1aeral+zuJXe9zkWojaXJ1lQquqWqrqqeX47vTCa8tvxC0mSpcDzgPcOu5Y2kjwI+DV6ZzBSVXdV1Q+HW9XsdT34HwP8anNF0c8nefKwC5pJkrOB71bVNcOuZZb+PfDJYRcxjakuT7LgQ3RCc1XcJwFfHm4lrbyd3sHLPcMupKVHA+PA+5vpqfcmecCwi5qtNpdsOKwl+UfgEVN0vZHez38cvbfITwY+muTRNeRzXGeo+Q3AmfNb0cwOVHNV/W0z5o30piY+NJ+1HYTWlxhZaJIcA3wceH1V/XjY9RxIkucDt1bVjiRnDLuelo4ATgNeW1VfTvIO4DzgD4db1uzc54O/qp41XV+SVwOfaIL+K0nuoXcBpvH5qm8q09Wc5AnACcA1vYufshS4KsnKqvrePJa4nwP9ngGSrAOeDzxz2C+sB3BYXmIkyZH0Qv9DVfWJYdfTwunA2UmeC9wPeFCSD1bVS4dc14GMAWNVNfFu6nJ6wX9Y6vpUz98Avw6Q5DHAUSzgqxtW1XVV9bCqWlFVK+j9MZ427NCfSZJVwB8AZ1fVHcOu5wDaXJ5kQWkuf/4+4Maq+vNh19NGVZ1fVUubv+E19C7xspBDn+b/2O4kj22anknvigSHpfv8Ef8MNgIbk3wNuAtYt4CPRg9n7wKOBrY071S2VtV/GG5J+5vu8iRDLmsmpwMvA65LcnXT9oaq2jzEmu6rXgt8qDko2AW8Ysj1zJqXbJCkjun6VI8kdY7BL0kdY/BLUscY/JLUMQa/JHWMwS9JHWPwS1LH/H+hMQtcBLC0KAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(xyz_avg[:,1])\n",
    "plt.title('Average $y(t)$');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "04e7f25477ca43ad85634c9042d8cbe8": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "angle",
       "layout": "IPY_MODEL_dd849319216849a1adeb5b17b636bc4d",
       "max": 360,
       "step": 0.1,
       "style": "IPY_MODEL_f42383cf926248908e94e47c779d850d"
      }
     },
     "2cca762d801e42aaba2056ac1ace3d86": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_e6d69fd543f5409abc456480cf150c8b",
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "2e9cde1f1530426f99e67593be69c03f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "4217a3a589674870ad61a74a938ca1e5": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_601b290b7e3a40d9ac24078e055ae88e",
        "IPY_MODEL_04e7f25477ca43ad85634c9042d8cbe8",
        "IPY_MODEL_50a6b2b5571e463893d6a609ef6c1609",
        "IPY_MODEL_f4ef0295fff04d0b811f37b14133945a",
        "IPY_MODEL_a10d25938b354b43952da7275d186725",
        "IPY_MODEL_e4a0217b3fe64e13b0e57f3e0172d63e",
        "IPY_MODEL_2cca762d801e42aaba2056ac1ace3d86"
       ],
       "layout": "IPY_MODEL_4eab92b28d9a4bffaee27a87809f11e7"
      }
     },
     "4eab92b28d9a4bffaee27a87809f11e7": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.0.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "50a6b2b5571e463893d6a609ef6c1609": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.2.0",
      "model_name": "FloatSliderModel",
      "state": {
       "description": "max_time",
       "layout": "IPY_MODEL_b5c51ae8954f4f419fd58592983f0e94",
       "max": 4,
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